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Finding the Fourth Proportional to 1,007.12, 1,389.53 and 691.76

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Solution

The fourth proportional to 1,007.12, 1,389.53 and 691.76 is: 954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.12 : 1,389.53 = 691.76 : x
  2. Step 2: Convert to fraction form
    1,007.12/1,389.53 = 691.76/x
  3. Step 3: Cross multiply
    1,007.12x = 1,389.53 × 691.76
  4. Step 4: Simplify right side
    1,007.12x = 961,210.87
  5. Step 5: Solve for x
    x = 961,210.87/1,007.12
  6. Step 6: Final answer
    x = 954.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.